What is the Greatest Common Factor of 77352 and 77368?

Greatest common factor (GCF) of 77352 and 77368 is 8.

GCF(77352,77368) = 8

We will now calculate the prime factors of 77352 and 77368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77352 and 77368.

How to find the GCF of 77352 and 77368?

We will first find the prime factorization of 77352 and 77368. After we will calculate the factors of 77352 and 77368 and find the biggest common factor number .

Step-1: Prime Factorization of 77352

Prime factors of 77352 are 2, 3, 11, 293. Prime factorization of 77352 in exponential form is:

77352 = 2³ × 3¹ × 11¹ × 293¹

Step-2: Prime Factorization of 77368

Prime factors of 77368 are 2, 19, 509. Prime factorization of 77368 in exponential form is:

77368 = 2³ × 19¹ × 509¹

Step-3: Factors of 77352

List of positive integer factors of 77352 that divides 77352 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 293, 586, 879, 1172, 1758, 2344, 3223, 3516, 6446, 7032, 9669, 12892, 19338, 25784, 38676

Step-4: Factors of 77368

List of positive integer factors of 77368 that divides 77352 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 509, 1018, 2036, 4072, 9671, 19342, 38684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77352 and 77368. The biggest common factor number is the GCF number.
So the greatest common factor 77352 and 77368 is 8.

Also check out the Least Common Multiple of 77352 and 77368